Daily Course Schedule

The order is: date, # of the Lecture, title,
# of the book section, exercices.

Mon. 1/11, Lecture 1. Introduction, Section 1.1.
Wed. 1/13, Lecture 2. Solutions and IVP, Sec 1.2. Ex. 1,3,9.
Fri. 1/15, Lecture 3. Direction Fields, Sec. 1.3, Ex 1,3,5,7,9.
Mon. 1/18, Martin Luther King, Jr. Day.
Wed. 1 /20, Lecture 4. Euler Method, Sec. 1.4, Ex.1, 3
Fri. 1/22, Lecture 5. Separable Equations, Sec. 2.2, Ex. 7,9,11,17,19.
Mon. 1/25, Lecture 6. Linear Equations, Sec. 2.3, Ex. 5,7,13,17,19.
Wed. 1/27, Lecture 7. Exact Equations, Sec. 2.4, Ex. 9,11,13,15.
Fri. 1/29, Lecture 8. Integration Factor, Sec. 2.5, Ex.9,11,13,15.
Mon. 2/1, Lecture 9. Homogeneous and Bernoulli Equations, Substitutions, Sec. 2.6, Ex. 9,17,21,29 ,39. (Pay attention Example 2 at p.72, this is not explained in the book.)
Wed. 2/3, Lecture 10. First Order Applications. Sec. 3.1, Modelling. Sec. 3.3 Heating, Ex. 1,3. Sec 3.5, Electrical Circuit, Ex.1,3.
Fri. 2/5, Review.
Mon. 2/8, Quiz 1
Wed. 2/10, Lecture 11. Introduction. Mass-Spring Oscillator, Sec. 4.1. Ex. 1,3.
Fri. 2/12, Lecture 12. Homogeneous Linear Equations, Sec. 4.2, Ex. 27,28,30.
Mon. 2/15, Lecture 13. Complex Roots, Sec. 4.3. Ex. 1,9,11,23, 25,27.
Wed. 2/17, Lecture 14. Non-homogeneous Case. Undetermined Coefficients, Sec. 4.3. Ex. 9,11,27,29.
Fri. 2/19, Lecture 15. Superposition. Sec. 4.5. Ex 3,9,17
Mon. 2/22, Lecture 16. Variation of Parameters, Sec. 4.6. Ex. 1,9,11.
Wed. 2/24, Lecture 17. Variable-Coefficient Equations, Sec. 4.7. Ex. 5,7,9,19.
Fri. 2/26, Review
Mon. 3/1, Quiz 2
Wed. 3/3, My Lecture. Determinants of higher orders.

Fri. 3/5, My Lecture. Linear DE of higher orders, Sec. 6.1. Ex. 7,15,19.
Mon. 3/8, My Lecture. Homogeneous LDE with Constant Coefficients, Ex. 1,13,19.
Wed. 3/10, My Lecture. Non-homogeneous Case, Sec. 6.3. Ex. 1,3,5.
Fri. 3/12, My Lecture. Variational of Parameters, Ex. 1,3,5.
Mon. 3/15, Review.
Wed. 3/17, First Midtem Exam
Fri. 3/19, Lecture 18. Introduction: Laplace Transform (LT), Sec. 7.2. Ex. 3,13,19.
Mon. 3/22, Lecture 19. Properties of LT, Sec. 7.3, Ex. 3,19,21.
Wed. 3/25, Lecture 20. The inverse LT, Sec. 7.4. Ex. 3,11,21
Fri. 3/27, Lecture 21. Solving IVP, Ex. 1, 15,25.
Mon 3/29, Lecture 22. LT of Discontinuous Functions, Sec. 7.6, Ex.29, 31, 37.
Wed. 4/2, Review.
Fri.4/4, Quiz 3.
Mon. 4/7, Lecture 23, first half. Convolution, Sec. 7.8. Ex.1,3,5,13.
Fri. 4/9, Lecture 23, second half. Convolution, Sec. 7.8, Ex.15,17,23.
Mon. 4/12, Lecture 24. Delta-function, Sec 7.9. Ex. 13, 17, 23.
Wed. 4/14, Review.
Fri. 4/16, Second MT Exam.
Mon. 4/19,
Wed. 4/21,